16t^2+30t-220=0

Solution for 16t^2+30t-220=0 equation:

16t^2+30t-220=0

a = 16; b = 30; c = -220;
Δ = b2-4ac
Δ = 302-4·16·(-220)
Δ = 14980
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14980}=\sqrt{4*3745}=\sqrt{4}*\sqrt{3745}=2\sqrt{3745}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{3745}}{2*16}=\frac{-30-2\sqrt{3745}}{32}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{3745}}{2*16}=\frac{-30+2\sqrt{3745}}{32}
$